Optimal Event-Triggered Control of Nonlinear Systems: A Min-Max Approach

Abstract

This paper presents a co-optimization scheme for an event-triggered control system to simultaneously optimize both the sampling instants and the control policy. A continuous time nonlinear affine system is considered and a novel performance index is defined to regulate the system states with minimum energy and optimal feedback frequency. To achieve this, a min-max optimization problem is formulated with the control policy and error due to event-triggered feedback as two non-cooperative policies. Using the two-player non-cooperative zero-sum game theory, solution to the min-max optimization problem is determined. The sampling instants are optimized by designing an event-triggering mechanism with worst-case sampling error policy as threshold while the control policy is designed to minimize the performance index. Solution to this min-max problem is obtained by approximating the solution of the Hamilton-Jacobi-Issac (HJI) equation. Artificial neural networks (NNs) are employed for the approximation in a forward-in-time and on-line manner. To neutralize the effect of the aperiodic availability of the state information on learning accuracy, a hybrid learning scheme is proposed. The local ultimate boundedness of the closed-loop event-triggered system is demonstrated using Lyapunov direct method and Zeno free behavior of the system is also guaranteed. Finally, simulation results are included to validate the proposed design.

Meeting Name

2018 Annual American Control Conference, ACC (2018: Jun. 27-29, Milwaukee, WI)

Department(s)

Electrical and Computer Engineering

Research Center/Lab(s)

Intelligent Systems Center

Comments

This research is funded in part by the intelligent systems center, Rolla, NSF ECCS #1406533 and CMMI #1547042.

International Standard Book Number (ISBN)

978-1-5386-5428-6

International Standard Serial Number (ISSN)

0743-1619; 2378-5861

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jun 2018

Link to Full Text

Share

 
COinS